# Hold me

Author: mathforces
Problem has been solved: 20 times

Русский язык | English Language

The positive numbers $a$, $b$ and $c$ satisfy $\frac{b^3+3c^3}{a^2+a+1}=\frac{1-a}{2}$. Let $x$ be the largest possible value of $2a + b + 3c$. It is known that $y$ is the smallest positive integer for which $x^y$ is an integer. What is $x^y + y$ equal to?